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Finding the Fourth Proportional to 317,275.47, 437,840.15 and 174,035.85

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Solution

The fourth proportional to 317,275.47, 437,840.15 and 174,035.85 is: 240,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,275.47 : 437,840.15 = 174,035.85 : x
  2. Step 2: Convert to fraction form
    317,275.47/437,840.15 = 174,035.85/x
  3. Step 3: Cross multiply
    317,275.47x = 437,840.15 × 174,035.85
  4. Step 4: Simplify right side
    317,275.47x = 76,199,882,669.38
  5. Step 5: Solve for x
    x = 76,199,882,669.38/317,275.47
  6. Step 6: Final answer
    x = 240,169.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.